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Finding the Fourth Proportional to 123.57, 171 and 105.12

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Solution

The fourth proportional to 123.57, 171 and 105.12 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 171 = 105.12 : x
  2. Step 2: Convert to fraction form
    123.57/171 = 105.12/x
  3. Step 3: Cross multiply
    123.57x = 171 × 105.12
  4. Step 4: Simplify right side
    123.57x = 17,975.52
  5. Step 5: Solve for x
    x = 17,975.52/123.57
  6. Step 6: Final answer
    x = 145.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.